Internal problem ID [10155]
Book: An elementary treatise on differential equations by Abraham Cohen. DC heath publishers.
1906
Section: Chapter 2, differential equations of the first order and the first degree. Article 19. Summary.
Page 29
Problem number: Ex 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-x^{2} y-x^{5}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 19
dsolve(diff(y(x),x)-x^2*y(x)=x^5,y(x), singsol=all)
\[ y \left (x \right ) = -x^{3}-3+{\mathrm e}^{\frac {x^{3}}{3}} c_{1} \]
✓ Solution by Mathematica
Time used: 0.072 (sec). Leaf size: 24
DSolve[y'[x]-x^2*y[x]==x^5,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -x^3+c_1 e^{\frac {x^3}{3}}-3 \\ \end{align*}